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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2022, Volume 115, Issue 1, Pages 51–58
DOI: https://doi.org/10.31857/S1234567822010098 (Mi jetpl6585) 		 
This article is cited in 5 scientific papers (total in 5 papers)

METHODS OF THEORETICAL PHYSICS

Resonant interactions of vector breathers

A. A. Raskovalovabc, A. A. Gelashbd

a Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620108 Russia
b Skolkovo Institute of Science and Technology, Moscow, 121205 Russia
c Institute of Physics and Technology, Ural Federal University, Yekaterinburg, 620002 Russia
d Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
Full-text PDF (709 kB) Citations (5)
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DOI: https://doi.org/10.31857/S1234567822010098
Abstract: We study vector solitons propagating on an unstable constant background (vector breathers) theoretically in the framework of the focusing two-component one-dimensional nonlinear Schrödinger equation. Based on the simplified inverse scattering transform technique called the dressing method, we find the exact solutions describing resonance interactions of the vector breathers. The resonance represents a three-breather process, i.e., a fusion of two breathers into one or decay of one breather into two, such that the characteristic wave vectors and frequencies of the breathers satisfy resonance conditions.
Funding agency Grant number
Russian Science Foundation 19-72-30028
This work was supported by the Russian Science Foundation (project no. 19-72-30028).
Received: 21.10.2021
Revised: 17.11.2021
Accepted: 19.11.2021
English version:
Journal of Experimental and Theoretical Physics Letters, 2022, Volume 115, Issue 1, Pages 45–51
DOI: https://doi.org/10.1134/S0021364022010040
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Raskovalov, A. A. Gelash, “Resonant interactions of vector breathers”, Pis'ma v Zh. Èksper. Teoret. Fiz., 115:1 (2022), 51–58; JETP Letters, 115:1 (2022), 45–51
Citation in format AMSBIB
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\pages 51--58
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  • https://www.mathnet.ru/eng/jetpl6585
  • https://www.mathnet.ru/eng/jetpl/v115/i1/p51
    • This publication is cited in the following 5 articles:
    1. Xue-Wei Yan, Yong Chen, Annals of Physics, 2025, 170000  crossref
    2. Zhi-Yuan Sun, Xin Yu, Yu-Jie Feng, Phys. Rev. E, 108:5 (2023)  crossref
    3. Andrey Gelash, Anton Raskovalov, Stud Appl Math, 150:3 (2023), 841  crossref
    4. A. A. Raskovalov, A. A. Gelash, Theoret. and Math. Phys., 213:3 (2022), 1669–1685  mathnet  crossref  crossref  mathscinet  adsnasa
    5. Andrey Gelash, Gang Xu, Bertrand Kibler, Phys. Rev. Research, 4:3 (2022)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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    Abstract page:110
    Full-text PDF :3
    References:29
    First page:15
     
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